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Finding the Fourth Proportional to 507,370.50, 700,193.57 and 281,016

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Solution

The fourth proportional to 507,370.50, 700,193.57 and 281,016 is: 387,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,370.50 : 700,193.57 = 281,016 : x
  2. Step 2: Convert to fraction form
    507,370.50/700,193.57 = 281,016/x
  3. Step 3: Cross multiply
    507,370.50x = 700,193.57 × 281,016
  4. Step 4: Simplify right side
    507,370.50x = 196,765,594,862.04
  5. Step 5: Solve for x
    x = 196,765,594,862.04/507,370.50
  6. Step 6: Final answer
    x = 387,814.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.